# Trig Function Equations

Written by Jerry Ratzlaff on . Posted in Trigonometry

• Hypotenuse: The side opposite the right angle "C", is the hypotenuse "c".
• Opposite Leg: The side opposite to the angle needed "A", is the opposite side "a".
• Adjacent Leg: The side opposite the hypotenuse and next to the angle needed, is the adjacent side "b".

### Trig Function Equations formula

$$\large{ \ sin \theta= \frac {opposite}{hypotenuse} }$$

$$\large{ \ cos \theta= \frac {adjacent}{hypotenuse} }$$

$$\large{ \ tan \theta= \frac {opposite}{adjacent} }$$

$$\large{ \ csc \theta= \frac {hypotenuse}{opposite} }$$

$$\large{ \ sec \theta= \frac {hypotenuse}{adjacent} }$$

$$\large{ \ cot \theta= \frac {adjacent}{opposite} }$$

$$\large{ \ arcsin \theta= \frac {opposite}{hypotenuse} }$$

$$\large{ \ arccos \theta= \frac {adjacent}{hypotenuse} }$$

$$\large{ \ arctan \theta= \frac {opposite}{adjacent} }$$

$$\large{ \ arccsc \theta= \frac {hypotenuse}{opposite} }$$

$$\large{ \ arcsec \theta= \frac {hypotenuse}{adjacent} }$$

$$\large{ \ arccot \theta= \frac {adjacent}{opposite} }$$